First one
The measure of angle AED = (1/2)(arc AD + arc BC)
angle AED = (1/2)(38 + 162)
angle AED (1/2) (200) = 100°
Second one ....this is the intersecting chord theorem
It says that
DE * EB = AE * EC
3 * 16 = 4 * EC
48 = 4 * EC divide both sides by 4
12 = EC